{ "protocol": "Polynomial-time spectral solvers on N x N relation fields; embedding dimensions are irrelevant by construction. The hidden shuffle is applied to the text field and used only to score the returned assignment.", "samples": 600, "spectra": { "visual": { "top_eigenvalues": [ 283.5230488647418, 277.9684981634586, 212.60637592961763, 175.51487971612258, 158.0823576140811, 156.69736601386393, 109.39322182465028, 94.55508300109848, 68.30947494816994, 56.166533341442474, 44.54709781730022, 41.47530588870182 ], "effective_rank_participation": 50.129370102131155, "rank_for_90_percent": 531, "rank_for_99_percent": 600, "median_relative_gap": 2.1901192514349127e-10, "min_relative_gap_top20": 0.0018106304952380415 }, "text": { "top_eigenvalues": [ 302.9042518644808, 256.2595629566847, 232.99350487580367, 171.15388147243604, 153.8513761990104, 150.76752596472087, 104.1222543488275, 88.07238019431944, 65.31744897068948, 50.84890288106328, 43.07452969984353, 40.089715611168984 ], "effective_rank_participation": 46.16548761028294, "rank_for_90_percent": 531, "rank_for_99_percent": 600, "median_relative_gap": 6.235417303281716e-11, "min_relative_gap_top20": 0.0009586627865928903 } }, "solvers": { "umeyama": { "accuracy": 0.006666666666666667, "chance": 0.0016666666666666668 }, "grampa_eta0.5": { "accuracy": 0.21, "chance": 0.0016666666666666668 }, "grampa_eta1.0": { "accuracy": 0.215, "chance": 0.0016666666666666668 }, "grampa_eta2.0": { "accuracy": 0.2633333333333333, "chance": 0.0016666666666666668 } }, "field_correlation_at_truth": 0.9262394124406891 }